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Correction to: The stable geometric dimension of vector bundles over real projective spaces. (English) Zbl 0532.55018
Summary: The theory of bo-resolutions as utilized by the authors previously [ibid. 268, 39-61 (1981; Zbl 0483.55014)] did not give adequate care to the $$K{\mathbb{Z}}_ 2's$$ occurring at each stage of the resolution. This restricts somewhat the set of integers e for which we can prove that the geometric dimension of vector bundles of order $$2^ e$$ on large real projective spaces is precisely $$2e+\delta$$.

##### MSC:
 55R25 Sphere bundles and vector bundles in algebraic topology 55R50 Stable classes of vector space bundles in algebraic topology and relations to $$K$$-theory 55P42 Stable homotopy theory, spectra 55T15 Adams spectral sequences 55N22 Bordism and cobordism theories and formal group laws in algebraic topology
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